Exploring the Pythagorean Theorem Answers
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1
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Which set of side lengths is a Pythagorean triple?
A
1, 3, 10B
4, 5, 9C
9, 40, 41D
16, 30, 442
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Which real-world scenario involves a right triangle?
A
a triangular bathroom tile with side lengths of 6 inches, 8 inches, and 12 inchesB
a triangular bike path with lengths of 5 miles, 12 miles, and 13 milesC
a triangular plot of land with side lengths of 10 yards, 10 yards, and 15 yardsD
a triangular street sign with side lengths of 3 feet, 3 feet, and 3 feet3
What is the length of the hypotenuse, x, if (12, 35, x) is a Pythagorean triple?
A
33B
37C
47D
584
Anja is creating a triangle using three straws. The two shorter straws have lengths of 20 cm and 21 cm. How long, in centimeters, should the third straw be for Anja to create a right triangle?
Answer not available
5
Which is a perfect square?
A
20B
21C
24D
256
Which numbers are perfect squares? Check all that apply.
A
1B
2C
16D
18E
32F
44G
94H
1007
Which expression is equivalent to the area of square A, in square inches?
A
One-half (10) (24)
B
10 (24)
C
(10 + 24) squared
D
10 squared + 24 squared
8
Which set of side lengths forms a right triangle?
A
2, 3, 13B
4, 6, 10C
9, 12, 18D
15, 36, 399
Which is a perfect square?
A
5B
8C
36D
4410
Which equation can be used to find x, the length of the hypotenuse of the right triangle?
A
16 + 63 = x
B
16 squared + 63 = x
C
(16 + 63) squared = x squared
D
16 squared + 63 squared = x squared
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